Smoothed particle hydrodynamics with GRAPE-1A

Details Smoothed particle hydrodynamics with GRAPE-1A Smoothed particle hydrodynamics with GRAPE-1A

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pasj...45..311u&link_type=abstract

PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 45, no. 3, p. 311-320.

Statistics

Computation

25

Computational Astrophysics, Gravitational Effects, Hydrodynamic Equations, Many Body Problem, Computerized Simulation, Velocity Distribution

Scientific paper

We describe the implementation of a smoothed particle hydrodynamics (SPH) scheme using GRAPE-1A, a special-purpose processor used for gravitational N-body simulations. The GRAPE-1A calculates the gravitational force exerted on a particle from all other particles in a system, while simultaneously making a list of the nearest neighbors of the particle. It is found that GRAPE-1A accelerates SPH calculations by direct summation by about two orders of magnitudes for a ten thousand-particle simulation. The effective speed is 80 Mflops, which is about 30 percent of the peak speed of GRAPE-1A. Also, in order to investigate the accuracy of GRAPE-SPH, some test simulations were executed. We found that the force and position errors are smaller than those due to representing a fluid by a finite number of particles. The total energy and momentum were conserved within 0.2-0.4 percent and 2-5 x 10 exp -5, respectively, in simulations with several thousand particles. We conclude that GRAPE-SPH is quite effective and sufficiently accurate for self-gravitating hydrodynamics.

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